Pith Number

pith:QUPFYU3W

pith:2024:QUPFYU3WTD6TCZ3OP7TUHD7ANW

not attested not anchored not stored refs pending

On the Exact Maxwell evolution equation of resonator dynamics

Philippe Lalanne, Rachid Zarouf, Tong Wu

arxiv:2405.00455 v4 · 2024-05-01 · physics.optics · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QUPFYU3WTD6TCZ3OP7TUHD7ANW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T09:45:09.775547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

851e5c537698fd31676e7fe7438fe06da37649c9616446f1f5bd7ab439cf23b9

Aliases

arxiv: 2405.00455 · arxiv_version: 2405.00455v4 · doi: 10.48550/arxiv.2405.00455 · pith_short_12: QUPFYU3WTD6T · pith_short_16: QUPFYU3WTD6TCZ3O · pith_short_8: QUPFYU3W

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QUPFYU3WTD6TCZ3OP7TUHD7ANW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 851e5c537698fd31676e7fe7438fe06da37649c9616446f1f5bd7ab439cf23b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be30da8ee37ee2d9fe8cbde24aac5b1a84661113a248534b848cbc4904517ea3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2024-05-01T11:17:58Z",
    "title_canon_sha256": "b0f090517bcc01e4f952a166fb1aa5e6a443510d309ec1fcc88ea24b3dd55c28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.00455",
    "kind": "arxiv",
    "version": 4
  }
}